What are the factors of 96?
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
I see you're in college math, so we'll solve this with calculus, since it's the easiest way anyway.
The position equation is
That equation will give us the height of the rock at ANY TIME during its travels. I could find the height at 2 seconds by plugging in a 2 for t; I could find the height at 12 seconds by plugging in a 12 for t, etc.
The first derivative of position is velocity:
v(t) = -3.72t + 15 and you stated that the rock will be at its max height when the velocity is 0, so we plug in a 0 for v(t):
0 = -3.72t + 15 and solve for t:\
-15 = -3.72t so
t = 4.03 seconds. This is how long it takes to get to its max height. Knowing that, we can plug 4.03 seconds into the position equation to find the height at 4.03 seconds:
s(4.03) = -1.86(4.03)² + 15(4.03) so
s(4.03) = 30.2 meters.
Calculus is amazing. Much easier than most methods to solve problems like this.
It took him 9.92 hours to complete the journey.
Step-by-step explanation:
Given,
Distance traveled = 50 miles
Distance traveled on horse =
Distance traveled on foot = 25 miles
Speed while riding = 9 miles per hour
Distance = Speed * Time
Time while riding =
Time while riding =
Speed while waling = 3.5 miles
Time =
Total time = 2.78+7.14 = 9.92 hours
It took him 9.92 hours to complete the journey.
Keywords: speed, distance
Learn more about distance at:
#LearnwithBrainly